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Simplifying x2 + 3x + -10 = 30 Reorder the terms: -10 + 3x + x2 = 30 Solving -10 + 3x + x2 = 30 Solving for variable 'x'. Reorder the terms: -10 + -30 + 3x + x2 = 30 + -30 Combine like terms: -10 + -30 = -40 -40 + 3x + x2 = 30 + -30 Combine like terms: 30 + -30 = 0 -40 + 3x + x2 = 0 Factor a trinomial. (-8 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-8, 5}
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